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Equivariant Pieri rules for isotropic Grassmannians

Changzheng Li Sun Yat-Sen University Vijay Ravikumar Chennai Mathematical Institute

mathscidoc:1612.01004

Mathematische Annalen, 365, 881-909, 2016
We give a Pieri rule for the torus-equivariant cohomology of (submaximal) Grassmannians of Lie types B, C, and D. To the authors' best knowledge, our rule is the rst manifestly positive formula, beyond the equivariant Chevalley formula. We also give a simple proof of the equivariant Pieri rule for the ordinary (type A) Grassmannian.
Pieri rule. Equivariant cohomology. Isotropic Grassmannians
[ Download ] [ 2016-12-11 17:52:31 uploaded by czli ] [ 667 downloads ] [ 0 comments ] [ Cited by 1 ] 
@inproceedings{changzheng2016equivariant,
  title={Equivariant Pieri rules for isotropic Grassmannians},
  author={Changzheng Li, and Vijay Ravikumar},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161211175231892489686},
  booktitle={Mathematische Annalen},
  volume={365},
  pages={881-909},
  year={2016},
}
Changzheng Li, and Vijay Ravikumar. Equivariant Pieri rules for isotropic Grassmannians. 2016. Vol. 365. In Mathematische Annalen. pp.881-909. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161211175231892489686.
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